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5.4 Sum and Difference Formulas

5.4 Sum and Difference Formulas. Addition and Subtract of the Sine function. With the sine function the sign between the expressions stays the same. Find the Sine of u + v. Find the Sine of u - v. Addition and Subtract of the Cosine function.

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5.4 Sum and Difference Formulas

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  1. 5.4 Sum and Difference Formulas

  2. Addition and Subtract of the Sine function With the sine function the sign between the expressions stays the same.

  3. Find the Sine of u + v

  4. Find the Sine of u - v

  5. Addition and Subtract of the Cosine function With the cosine function the sign between the expressions change.

  6. Find the Cosine of u + v

  7. Find the Cosine of u - v

  8. Addition and Subtract of the Tangent function Both are Rational expressions

  9. Find the Tangent of u + v

  10. Find the Tangent of u + v

  11. Find the Tangent of u - v

  12. Find the Tangent of u - v

  13. Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

  14. Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

  15. Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

  16. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

  17. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

  18. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

  19. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

  20. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

  21. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

  22. Break up the angle and find Sin, Cos and Tan Tan can be done two ways.

  23. Sin u = 5/13 What is Cos u ?

  24. Sin u = 5/13 What is Cos u ?

  25. Find cos(arc cos x – arc tan x) Let u = arc cos x v = arc tan x

  26. Find cos(arc cos x – arc tan x)

  27. Find cos(arc cos x – arc tan x)

  28. Homework Page 384 – 385 # 1, 7, 17, 25, 31, 42, 53, 60, 71, 74

  29. Homework Page 384 – 385 # 4,10, 20, 28, 37, 47, 59, 62, 70, 73

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